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Finding the Fourth Proportional to 257.08, 383.60 and 216.58

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Solution

The fourth proportional to 257.08, 383.60 and 216.58 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 383.60 = 216.58 : x
  2. Step 2: Convert to fraction form
    257.08/383.60 = 216.58/x
  3. Step 3: Cross multiply
    257.08x = 383.60 × 216.58
  4. Step 4: Simplify right side
    257.08x = 83,080.09
  5. Step 5: Solve for x
    x = 83,080.09/257.08
  6. Step 6: Final answer
    x = 323.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.